Other Situations Involving Group Matrices

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter sketches various situations in which the tools described in this book have appeared. They are: 1.The characterization of those class functions on a group which are group characters.2.The use of group matrices in the theory of group rings.3.The application of group matrices to the theory of cogrowth of groups.4.Work of Poincaré on differential equations.5.The connection between factors of the group determinant and Chern classes.6.The appearance of the group matrix as a Gram matrix for tight frames with a symmetry group, which have appeared in the theory of wavelets.7.The theory of 3-manifolds.8.Control theory and electrical engineering.9.The algebra defined by considering the k-classes under multiplication.

Original languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages313-340
Number of pages28
DOIs
StatePublished - Jan 1 2019

Publication series

NameLecture Notes in Mathematics
Volume2233
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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  • Cite this

    Johnson, K. W. (2019). Other Situations Involving Group Matrices. In Lecture Notes in Mathematics (pp. 313-340). (Lecture Notes in Mathematics; Vol. 2233). Springer Verlag. https://doi.org/10.1007/978-3-030-28300-1_10